Construction of control ensuring equilibrium conditions in a multistep two-person positional game

被引：0
|
作者：
Zograbyan, G. A. [1 ]
Reshetov, V. Yu. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 06期
关键词：
differential game; Nash equilibrium; conflict situation; multistep game;
D O I：
10.1134/S0965542514060153
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An analytical approach is suggested for finding a strategy in a conflict situation described by a linear control system. A modified dynamic programming method is examined as applied to a multistep differential game. The method is used to construct a Nash equilibrium solution.
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页码：931 / 938
页数：8
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